answer questions b c d on 2 and 3 and then answer number 4 at the very bottom

2) PERIMETER Describe Figure 20 of your design. Provide as much information as you can. What will it look like? How will the squares be arranged? How will it be shaded? A table can help you learn more about how the perimeter changes as the rugs get bigger. a. Organize your perimeter data in a table like the one shown below. Figure number 1 2 3 4 5 20 Perimeter (in units) 12 24 48 96/ 192 240 b. Graph the perimeter data for Figures 1 through 5. (You do not need to include Figure 20.) What is the shape of the graph? c. How does the perimeter grow? Examine your table and graph and describe how the perimeter changes as the rugs get larger. Times by 2 d. Generalize the patterns you have found by writing an equation that will calculate the perimeter of any size rug in your design. That is, what is the perimeter of Figure n? Show how you got your answer. 3) AREA Now analyze how the area changes with a table and graph. a. Make a table like the one below to organize information about the area of each rug in your design. Figure number 1 2 3 4 5 20 Area (in square units) 5 /20 / 45 / 80 /125/2000 b. On a new set of axes, graph the area data for Figures 1 through 5. (You do not need to include Figure 20.) What is the shape of the graph? c. How does the area grow? Does it grow the same way as the perimeter? Examine your table and graph and describe how the area changes as the rugs get bigger. d. Write an equation that calculates the area of Figure n. How did you figure out your equation? Be ready to share your strategy with the class. 4) The King has arrived! He demands a Rug #100, which is Figure 100 in your design. How much fringe does Alonzo need? How much wool? Justify your answers. whistersorgem